Question

If one-third of a number x, is greater than five less than twice the number, which of the following is true

Answer 1

Answer:

Option A

The true inequality is x < 3

Step-by-step explanation:

Let the number be "x"

One-third of the number means that,

Thus from the given statement,

one-third of a number x is greater than five less than twice the number

Solve the above inequality

Multiply both sides of an inequality by 3

Solve for brackets in R.H.S

Add -6x on both sides of the inequality

Multiply both sides of the  inequality by -1

Whenever you multiply or divide an inequality by a negative number, you must flip the inequality sign

Divide both sides of the inequality by 5

Thus the true inequality is x < 3